Equation
of motion for a particle: Newton’s 2^{nd} law
Newton’s 2^{nd}
law: The resultant of all
the forces acting on a particle is proportional to the acceleration of the
particle.

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Newton’s 3^{rd}
law: Each action
has a reaction equal in magnitude, but opposite in direction
Equations of
motion in a rectangular coordinate system: In a rectangular coordinate system the
equations of motion can be represented by three scalar equations:
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Equations of motion
in normal and tangential (natural) coordinate systems: In a natural coordinate
system the equations of motion can be represented by three scalar equations:
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Equations of
motion in Cylindrical coordinate systems: In a cylindrical coordinate system the
equations of motion can be represented by three scalar equations:
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FreeBody
diagram: A diagram showing the
particle under consideration and all the forces
acting on the particle. Each force in
this diagram must be labeled.
Gravity: The force of gravity is equal
to the mass times the acceleration of gravity and is applied at the center of
gravity (CG) of the body.

String or
cable: A mechanical device that can only transmit a tensile
force along itself.
Linear spring: A
mechanical device which exerts a force proportional to its extension along its
line of action.
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Frictionless
and massless pulleys: For a frictionless and massless
pulley, the tension in the cable is the same on both sides of the
pulley.
ã Mehrdad Negahban and the
University of Nebraska, 19962002.
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rights reserved
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and distribute freely for personal use only
Department
of Engineering Mechanics, University of Nebraska, Lincoln, NE 685880526